Authors:

Garry Goldstein(Rutgers University)

Natan Andrei(Rutgers University)

We study the nonequilibrium properties of the 1-D Lieb-Liniger model in the
infinite repulsion Tonks-Girardeau regime, Introducing a new version of the
Yudson representation applicable to finite sized systems and appropriately
taking the infinite volume limit we are able to study the equilibration of
the Lieb-Liniger gas in the thermodynamic limit. We provide a formalism to
compute various correlation functions for highly non-equilibrium initial
states. In the Tonks Girardeua limit we are able to find explicit analytic
expressions for the long time limit of the expectation of the density,
density density and related correlation functions. We show that the gas
equilibrates to a steady state from arbitrary initial states with ``smooth''
correlation functions. For nearly translationally invariant states the gas
equilibrates to a diagonal ensemble which we show is equivalent to a
generalized version of the GGE for sufficiently simple correlation
functions, which in particular include density density correlations.

*This research was supported by NSF grant DMR 1006684 and Rutgers CMT fellowship.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2014.MAR.Y35.9